English

Stability of EHI and regularity of MMD spaces

Analysis of PDEs 2023-12-06 v3 Probability

Abstract

We show that elliptic Harnack inequality is stable under form-bounded perturbations for strongly local Dirichlet forms on complete locally compact separable metric spaces that satisfy metric doubling property (or equivalently, relative ball connectedness property).

Keywords

Cite

@article{arxiv.2008.05152,
  title  = {Stability of EHI and regularity of MMD spaces},
  author = {Martin T. Barlow and Zhen-Qing Chen and Mathav Murugan},
  journal= {arXiv preprint arXiv:2008.05152},
  year   = {2023}
}